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math.DG2007
A Functorial Approach to the Infinitesimal Theory of Groupoids
Hirokazu Nishimura
Lie algebroids are by no means natural as an infinitesimal counterpart of groupoids. In this paper we propose a functorial construction called Nishimura algebroids for an infinites…
math.DG2007
Curvature in Synthetic Differential Geometry of Groupoids
Hirokazu Nishimura
We study the fundamental properties of curvature in groupoids within the framework of synthetic differential geometry. As is usual in synthetic differential geometry, its combinato…